The connector should be marked for pin one and the last pin, normally in opposite corners. Then use meter to test for continuity.
Are you sure it is a solenoid and not a pump? Gas engines are fuel pumps. LP engines are solenoids.
Have you tried applying 12 volts DC to input to see if it works?

Can you get the computer number off yours? Do not try to use from drawings.
Looking at a couple drawings, some of the pins are not used and on drawing that shows remote (fig 12-21) start indicates less wires and then jumpered at remote start/stop.